Finite Group Databasebeta

← Group #13172934

Character table — Group #13172934

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order12223336666666662333666666666664444366666666666666644441212121212121212121212121212121222222244666612121212121212121212121212121212246666121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-1111-1-11111111111-1-11111-1-1-1-111111-11-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-111111-1-1-1-11111-1111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1111-111
χ51111111111111111111111111111111-1-1111111111111111111111-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1111-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1111
χ71111111111111111111111111111111-1-1-1-111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-11-1-111-1-111-1-111-1-1-11-1-11111-111-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111-11111-1-11-1-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-111-111-1-1-1-11111-1-111-1-1-1-1-1-111-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-11111111111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1111-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-111-1-11111-1-11-11111-1-11-11-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-11-111-1-111-1-111-1-111-11-1-11111-11-11
χ17222222-1-12222-1-12222-1-1-1-12-1-122-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-102022200-1-1-1-1-1-1-1-1220022220000-1-1-1-12020-1-1-1-1-1-1-1-100000000-1-1000000
χ18222222-1-12222-1-12222-1-1-1-12-1-122-1-1-1-122-2-2-12222-1-1-1-1-1-1-1-1-1-1-10-202-2-200-1-1-1-111112200-2-2-2-20000111120-20-1-1-1-111110000000011000000
χ19222222-1-12222-1-12222-1-1-1-12-1-122-1-1-1-1-2-222-12222-1-1-1-1-1-1-1-1-1-1-1020-222001111-1-1-1-1-2-200-2-2-2-200001111-20201111-1-1-1-10000000011000000
χ20222222-1-12222-1-12222-1-1-1-12-1-122-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-10-20-2-2-20011111111-2-20022220000-1-1-1-1-20-201111111100000000-1-1000000
χ21222222-1-12222-1-122-22-1-1112-1-122-1-1-1-12222-1-2-2-2-21111-1-1-111110-20-22200-1-111-1-111220022-2-200001111-20-20-1-111-1-11100000000-1-1000000
χ22222222-1-12222-1-122-22-1-1112-1-122-1-1-1-122-2-2-1-2-2-2-21111-1-1-11111020-2-2-200-1-11111-1-12200-2-2220000-1-1-1-1-2020-1-11111-1-10000000011000000
χ23222222-1-12222-1-122-22-1-1112-1-122-1-1-1-1-2-222-1-2-2-2-21111-1-1-111110-202220011-1-1-1-111-2-200-2-2220000-1-1-1-120-2011-1-1-1-1110000000011000000
χ24222222-1-12222-1-122-22-1-1112-1-122-1-1-1-1-2-2-2-2-1-2-2-2-21111-1-1-111110202-2-20011-1-111-1-1-2-20022-2-200001111202011-1-111-1-100000000-1-1000000
χ2522222-12222-1-1222-12-12-122-12-1-1-122-1-10022-12-1-1-122-1-1-1-1-1-1-1-1-12220-1-1-1-100002222002200000022000002-1-10000-1-1-1-1-1-1-1-1200000-1-1-1000
χ2622222-12222-1-1222-12-12-122-12-1-1-122-1-10022-12-1-1-122-1-1-1-1-1-1-1-1-1-22-20-1-1110000222200-2-2000000-2-200000-2-110000-1-1-1-11111-200000111000
χ2722222-12222-1-1222-12-12-122-12-1-1-122-1-100-2-2-12-1-1-122-1-1-1-1-1-1-1-1-12-22011-1-10000-2-2-2-20022000000-2-20000021-100001111-1-1-1-1-200000111000
χ2822222-12222-1-1222-12-12-122-12-1-1-122-1-100-2-2-12-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2011110000-2-2-2-200-2-20000002200000-211000011111111200000-1-1-1000
χ2922222-12222-1-1222-1-2-12-1-2-2-12-1-1-122-1-10022-1-2111-2-211-1-1-111112-2-20-1-1-1-1000022-2-200-2-200000022000002110000-1-111-1-111-200000-1-11000
χ3022222-12222-1-1222-1-2-12-1-2-2-12-1-1-122-1-10022-1-2111-2-211-1-1-11111-2-220-1-111000022-2-20022000000-2-200000-21-10000-1-11111-1-120000011-1000
χ3122222-12222-1-1222-1-2-12-1-2-2-12-1-1-122-1-100-2-2-1-2111-2-211-1-1-1111122-2011-1-10000-2-22200-2-2000000-2-2000002-11000011-1-1-1-11120000011-1000
χ3222222-12222-1-1222-1-2-12-1-2-2-12-1-1-122-1-100-2-2-1-2111-2-211-1-1-11111-222011110000-2-22200220000002200000-2-1-1000011-1-111-1-1-200000-1-11000
χ332222-1222-1-12222-122-1-1222-1-12-1-1-1-1222200-1-12-1-1-1-122-1-1-1-1-1-1-12022002222220000-1-1-1-1000022000000-1-102-1-1-1-10000-1-1-1-102-1-100000-100
χ342222-1222-1-12222-122-1-1222-1-12-1-1-1-1222200-1-12-1-1-1-122-1-1-1-1-1-1-1-20-2200-2-222220000-1-1110000-2-2000000-110-2-1-1-1-1000011110-21100000100
χ352222-1222-1-12222-122-1-1222-1-12-1-1-1-122-2-200-1-12-1-1-1-122-1-1-1-1-1-1-1202-20022-2-2-2-2000011-1-10000-2-20000001-10211110000-1-1-1-10-21100000100
χ362222-1222-1-12222-122-1-1222-1-12-1-1-1-122-2-200-1-12-1-1-1-122-1-1-1-1-1-1-1-20-2-200-2-2-2-2-2-200001111000022000000110-211110000111102-1-100000-100
χ372222-1222-1-12222-12-2-1-12-2-2-1-12-1-1-1-1222200-11-21111-2-2-1-1-1111120-2-2002222-2-20000-1-1110000-2-20000001-10-2-1-1110000-1-111021100000-100
χ382222-1222-1-12222-12-2-1-12-2-2-1-12-1-1-1-1222200-11-21111-2-2-1-1-11111-202-200-2-222-2-20000-1-1-1-10000220000001102-1-111000011-1-10-2-1-100000100
χ392222-1222-1-12222-12-2-1-12-2-2-1-12-1-1-1-122-2-200-11-21111-2-2-1-1-1111120-220022-2-22200001111000022000000-1-10-211-1-10000-1-1110-2-1-100000100
χ402222-1222-1-12222-12-2-1-12-2-2-1-12-1-1-1-122-2-200-11-21111-2-2-1-1-11111-202200-2-2-2-222000011-1-10000-2-2000000-110211-1-1000011-1-1021100000-100
χ4122-2-222222-22-2-2-2-2-2022200-2222-2-2-2-2-22i−2i2i−2i2000000002-2-2000000002i−2i002i−2i002i−2i002i−2i002-2000000000000002i−2i002i−2i00000000002-2000000
χ4222-2-222222-22-2-2-2-2-2022200-2222-2-2-2-2-22i−2i−2i2i2000000002-2-200000000−2i2i002i−2i00−2i2i002i−2i00-22000000000000002i−2i00−2i2i0000000000-22000000
χ4322-2-222222-22-2-2-2-2-2022200-2222-2-2-2-2-2−2i2i2i−2i2000000002-2-2000000002i−2i00−2i2i002i−2i00−2i2i00-2200000000000000−2i2i002i−2i0000000000-22000000
χ4422-2-222222-22-2-2-2-2-2022200-2222-2-2-2-2-2−2i2i−2i2i2000000002-2-200000000−2i2i00−2i2i00−2i2i00−2i2i002-200000000000000−2i2i00−2i2i00000000002-2000000
χ4522-2-222-1-12-22-211-2-202-1-1−i3i3-2-1-12-211112i−2i2i−2i-10000−i3i3−i3i3-111−i3−i3i3i300002i−2i00−ii3−3−ii3−32i−2i002-2000000−i3−i3i3i30000−ii3−3−ii3−300000000-11000000
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χ4822-2-222-1-12-22-211-2-202-1-1−i3i3-2-1-12-21111−2i2i−2i2i-10000−i3i3−i3i3-111−i3−i3i3i30000−2i2i00i−i−33i−i−33−2i2i002-2000000−i3−i3i3i30000i−i−33i−i−3300000000-11000000
χ4922-2-222-1-12-22-211-2-202-1-1i3−i3-2-1-12-211112i−2i2i−2i-10000i3−i3i3−i3-111i3i3−i3−i300002i−2i00−ii−33−ii−332i−2i002-2000000i3i3−i3−i30000−ii−33−ii−3300000000-11000000
χ5022-2-222-1-12-22-211-2-202-1-1i3−i3-2-1-12-211112i−2i−2i2i-10000i3−i3i3−i3-111i3i3−i3−i30000−2i2i00−ii−33i−i3−32i−2i00-22000000−i3−i3i3i30000−ii−33i−i3−3000000001-1000000
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χ624444-24-2-2-2-244-2-2-244-21-2-2-2-21-2-2-211-2-2-4-4001-24-2-211-2-21111111000-400002222000022000000000000002000-1-1-1-100000000000000000000
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χ814-44-444-22-4-4-4-4-224404-2-200-422-44-22-220000-2000000002-22000000000000000000000000004-40000-22-220000000000000000000000000000
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χ854-44-4-244-422-4-44-4-240-2-240022-42-2-224-40000-2000000002-2200000000000000000000000000004-4000000000000000000000000-2200000000
χ864-44-4-244-422-4-44-4-240-2-240022-42-2-224-40000-2000000002-220000000000000000000000000000-440000000000000000000000002-200000000
χ874-4-44444-4-44-44-44-4-40444004-4-4-4-4-44-440000400000000-4-440000000000000000000000000000000000000000000000000000000000000000
χ884-4-4444-22-44-442-2-4-404-2-200422-4-42-22-20000-20000000022-200000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ894-4-4444-22-44-442-2-4-404-2-200422-4-42-22-20000-20000000022-2000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ904-4-444-24-4-442-2-44-420-24-200-2-4222-442-20000-20000000022-2000000000023−2300000000000000000000000000000000000023−2300000000000000
χ914-4-444-24-4-442-2-44-420-24-200-2-4222-442-20000-20000000022-20000000000−2323000000000000000000000000000000000000−232300000000000000
χ924-4-44-244-42-2-44-442-40-2-2400-22-4222-2-440000-20000000022-2000000000000000000000023−230000000000000000000000000023−23000000000000
χ934-4-44-244-42-2-44-442-40-2-2400-22-4222-2-440000-20000000022-20000000000000000000000−232300000000000000000000000000−2323000000000000
χ944-4-44-2-24-42-22-2-442201-2-200122-1-12-22-200001003-30000-1-113-33-300000023−23000000000023−23000000000000000000000000−33−33000000000000
χ954-4-44-2-24-42-22-2-442201-2-200122-1-12-22-200001003-30000-1-113-33-3000000−23230000000000−23230000000000000000000000003−33−3000000000000
χ964-4-44-2-24-42-22-2-442201-2-200122-1-12-22-20000100-330000-1-11-33-3300000023−230000000000−2323000000000000000000000000−333−3000000000000
χ974-4-44-2-24-42-22-2-442201-2-200122-1-12-22-20000100-330000-1-11-33-33000000−2323000000000023−230000000000000000000000003−3−33000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-488-44-44-8-84402-4-400-2-4-42-2444400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-44-4444440222−4i34i3-2222-2-2-2-2-20000-100002i3−2i32i3−2i3-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-44-44444402224i3−4i3-2222-2-2-2-2-20000-10000−2i32i3−2i32i3-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-44-8-844-448-40-4-420044-24-4-442-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-4444-8-8-44-480-42-4004-244-42-2-440000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-48-844448-8-4-402-4-400-244-22-44-440000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444444-44-4-4022200-2-2-2-222-22-20000-1000000001-11−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-444444-44-4-4022200-2-2-2-222-22-20000-1000000001-113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-44-884-44-4-840-4-4200-44-2444-4-220000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-48-444-4-884-44-80-42-400-4-2444-224-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444-44-44-4440222002-2-2-2-2-22-220000-1006-6000011-1-33-33000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444-44-44-4440222002-2-2-2-2-22-220000-100-66000011-13-33-3000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).